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212333310000 = 24325474771101
BaseRepresentation
bin1100010111000000001…
…1010011000000110000
3202022001212120202012200
43011300003103000300
511434324311410000
6241313343423200
721224550233010
oct3056003230060
9668055522180
10212333310000
1182060688589
1235199bb4b00
131703b545246
14a3c40a3c40
1557cb0d3500
hex31700d3030

212333310000 has 1200 divisors, whose sum is σ = 887605475328. Its totient is φ = 46368000000.

The previous prime is 212333309983. The next prime is 212333310001. The reversal of 212333310000 is 13333212.

212333310000 is a `hidden beast` number, since 21 + 2 + 333 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×2123333100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212333310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2102309950 + ... + 2102310050.

Almost surely, 2212333310000 is an apocalyptic number.

212333310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212333310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443802737664).

212333310000 is an abundant number, since it is smaller than the sum of its proper divisors (675272165328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212333310000 is a wasteful number, since it uses less digits than its factorization.

212333310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 212333310000 its reverse (13333212), we get a palindrome (212346643212).

The spelling of 212333310000 in words is "two hundred twelve billion, three hundred thirty-three million, three hundred ten thousand".